Dollarization would be beneficial for the United States. Dollarization would be able to help stabilize the economy much quicker then it is, which will benefit the United States as a whole. It would help stabilize the dollar and worth of the American dollar, which will help protect against another economical disaster.
I don't think that dollarization would be beneficial for the US because we would be giving up authority to influence the direction of our currency if major economic disasters occur. This would create stability in the economy yes, but it would place limit on capitalism. I believe this would also decrease the overall buying power since it would have to be held within limits of fluctuation.